The total revenue from the sale of match tickets is given as 𝑅(𝑥) = 14𝑥 + 3𝑥 2 + 16. a. Find the total revenue function b. Find the marginal revenue function c. Find total revenue and marginal revenue at x= 80

The revenue and cost functions, both in dollars, for the production and sale of x TVs are given as R(x) = 160x − 0.8x2 and C(x) = 3,240 + 15x, respectively.(a)Find the value(s) of x where the graph of R(x) has a horizontal tangent line with correct units. (Enter your answers as a comma-separated list. Round your answers to the nearest integer. If an answer does not exist, enter DNE.)x = 100   (b)Find the profit function in terms of x. (Note: Profit is revenue minus costs.)P(x) = −.8x2+145x−3240 (c)Find the value(s) of x where the graph of P(x) has a horizontal tangent line with correct units. (Enter your answers as a comma-separated list. Round your answers to the nearest integer. If an answer does not exist, enter DNE.)x = 7258​

A manufacturer determines that m employees will produce a total of q units each week. The relation between the number of employees and the quantity is given as: 𝑞 = 5𝑚2 + 2𝑚 + 4. Given that the demand function for the product is given as 𝑝 = 1000 𝑞+8 , determine a. The rate of change of price with respect to quantity b. The rate of change of price with respect to the number of employees c. Determine the marginal revenue when the number of employees is 15

The demand function of a product for a manufacturer is 𝑝 (𝑥) = 𝑎𝑥 + 𝑏. The manufacturer knows that he can sell 1250 units when the price is GHS5 per unit and he can sell 1500 units at a price of GHS4 per unit. Find the total, and average revenue functions.

Find out sales when cost of goods sold is 80,000 and Gross Profit ratio 20%

Suppose we have the demand function given as p=72−7,5q, where q is the number of units to be produced and sold. Determine the marginal revenue after 3 units have been sold